PRESENTATIONS FOR SUBSEMIGROUPS - APPLICATIONS TO IDEALS OF SEMIGROUPS

Authors
CAMPBELL CM ROBERTSON EF RUSKUC N THOMAS RM
Citation
Cm. Campbell et al., PRESENTATIONS FOR SUBSEMIGROUPS - APPLICATIONS TO IDEALS OF SEMIGROUPS, Journal of pure and applied algebra, 124(1-3), 1998, pp. 47-64
Citations number
11
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
124
Issue
1-3
Year of publication
1998
Pages
47 - 64
Database
ISI
SICI code
0022-4049(1998)124:1-3<47:PFS-AT>2.0.ZU;2-G
Abstract
A method for finding presentations for subsemigroups of semigroups def ined by presentations is used to investigate when ideals are finitely presented. It is shown that an ideal of a finitely presented semigroup is not necessarily finitely presented, even if it is finitely generat ed as a semigroup. By way of contrast, it is then proved that in a fre e product of two, or indeed of finitely many, finite semigroups, every right ideal which is finitely generated as a semigroup is finitely pr esented. (C) 1998 Elsevier Science B.V.